Math, asked by shivprabhat, 1 year ago

Find the value of k for which the polynomial x3-4x2+2x+k has 3as its zero.

Answers

Answered by karthikkattojup6118q
15

let \: f(x) =  {x}^{3}  - 4 {x}^{2}  + 2x + k
given that 3 is a zero of f(x)
so,f(3)=0
substitute x=3 in the given polynomial
=>
{(3)}^{3}  - 4  {(3)}^{2}  + 2(3) + k = 0
 =  > 27 - 36 + 6 + k = 0
=>k=36-6-27
=>k=36-33
=>k=3
.
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Answered by dishitasachdeva2007
0

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